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ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.4 in Chapter 17 - Mensuration
Take π = 22/7 unless stated otherwise.
The adjoining figure shows a cuboidal block of wood through which a circular cylindrical hole of the biggest size is drilled. Find the volume of the wood left in the block.
Solution:
The cuboid's volume is the total amount of space it takes up in a three-dimensional environment. A three-dimensional object called a cuboid has six rectangular faces. The cuboid has six faces, each of which is made up of three parallel faces.
Given diameter of the hole, d = 30 cm
radius of the hole, r = d/2 = 30/2 = 15 cm
Height of the cylindrical hole, h = 70 cm
Volume of the cuboidal block = lbh
= 70×30×30
= 63000 cm3
Volume of cylindrical hole = π r2h
= (22/7)×152×70
= 22×225×10
= 49500 cm3
Volume of the wood left in the block = 63000-49500 = 13500 cm3
Hence the volume of the wood left in the block is 13500 cm3. 
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